Least Common Multiple of 2440/970, 9148/6355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2440/970, 9148/6355 quickly i.e. 1116056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2440/970, 9148/6355 is 1116056.

LCM(2440/970, 9148/6355) = 1116056

LCM of 2440/970, 9148/6355

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2440/970,9148/6355

Given numbers are 2440/970,9148/6355

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 2440,9148

Least Common Multiple of Numerators i.e. LCM of 2440,9148 is 5580280.

GCF of Denominators means GCF of 970,6355 as per the given fractions.

GCF of 970,6355 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2440,9148

LCM of Fractions 2440/970,9148/6355 is 1116056

2 2440, 9148
2 1220, 4574
610, 2287

∴ So the LCM of the given numbers is 2 x 2 x 610 x 2287 = 5580280

Least Common Multiple of 2440,9148 with GCF Formula

Least Common Multiple of 2440,9148 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 2440,9148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2440,9148) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(2440,9148) x common factors =4 x 1 = 4

LCM(2440,9148) = ( 2440 × 9148 ) / 4

LCM(2440,9148) = 22321120 / 4

LCM(2440,9148) = 5580280


Lets's calculate GCF of 970,6355

5 970, 6355
194, 1271

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5580280/5

Therefore the LCM of Fractions 2440/970,9148/6355 is 1116056

Greatest Common Factor of 970,6355 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,6355 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 6355

List of positive integer factors of 6355 that divides 6355 without a remainder.

1,5,31,41,155,205,1271,6355

Greatest Common Factor

We found the factors 970,6355 . The biggest common factor number is the GCF number.
So the greatest common factor 970,6355 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2440/970, 9148/6355

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 2440/970, 9148/6355?

Answer: LCM of Numerators as per given numbers 2440/970, 9148/6355 is

LCM of Numerators i.e. for 2440,9148 is 5580280

GCF of denominators i.e. for 970,6355 is 5.

Thus, LCM of Fractions is 1116056.Finally, LCM of Fractions for 2440/970, 9148/6355 is 1116056.